Question : A dishonest dealer sells articles at a 15% loss on cost price but uses the weight of 20 g instead of 25 g. What is his profit or loss percentage?
Option 1: 6.25% Profit
Option 2: 6.50% Profit
Option 3: 7.55% Loss
Option 4: 5.25% Loss
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Correct Answer: 6.25% Profit
Solution :
Let the cost price of 25 g of the article be Rs. 100.
The dealer sells the article at a 15% loss, so the selling price becomes Rs. 85.
The dealer is giving only 20 g instead of 25 g.
The cost price for 20 g is Rs. 80.
$\text{Profit percentage} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right)×100$
$= \left( \frac{85 - 80}{80} \right)×100 = 6.25\%$
Hence, the correct answer is 6.25% Profit.
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